In this note we establish two-sided pointwise estimates near the pole of the Green function for X-elliptic operators in divergence form enjoying the doubling condition and the Poincaré inequality. As a step towards this result, we also prove a nonhomogeneous Harnack inequality, some representation formulas and a result on approximation by regular domains.
Francesco Uguzzoni (2015). Estimates of the Green function for X-elliptic operators. MATHEMATISCHE ANNALEN, 361(1), 169-190 [10.1007/s00208-014-1072-0].
Estimates of the Green function for X-elliptic operators
UGUZZONI, FRANCESCO
2015
Abstract
In this note we establish two-sided pointwise estimates near the pole of the Green function for X-elliptic operators in divergence form enjoying the doubling condition and the Poincaré inequality. As a step towards this result, we also prove a nonhomogeneous Harnack inequality, some representation formulas and a result on approximation by regular domains.File in questo prodotto:
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